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Finding the Fourth Proportional to 801.96, 1,203.66 and 558.66

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Solution

The fourth proportional to 801.96, 1,203.66 and 558.66 is: 838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.96 : 1,203.66 = 558.66 : x
  2. Step 2: Convert to fraction form
    801.96/1,203.66 = 558.66/x
  3. Step 3: Cross multiply
    801.96x = 1,203.66 × 558.66
  4. Step 4: Simplify right side
    801.96x = 672,436.70
  5. Step 5: Solve for x
    x = 672,436.70/801.96
  6. Step 6: Final answer
    x = 838.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.